Let x1, X2, ... , Xn be a random sample from a normal population with unknown mean µ and an unknown variance o². Construct the generalized likelihood ratio test for Ho : µ 2 µO = 10 versus H1 :µ < µo at a given significance level a. The following `answers" have been proposed. > c, where c is the value so that to the right of c lies the area of a under the the standard (a) The test rejects Ho if normal density. (b) The test rejects Ho if with n – 1 degrees of freedom. > c, where c is the value so that to the right of c lies the area of a under the i density
Let x1, X2, ... , Xn be a random sample from a normal population with unknown mean µ and an unknown variance o². Construct the generalized likelihood ratio test for Ho : µ 2 µO = 10 versus H1 :µ < µo at a given significance level a. The following `answers" have been proposed. > c, where c is the value so that to the right of c lies the area of a under the the standard (a) The test rejects Ho if normal density. (b) The test rejects Ho if with n – 1 degrees of freedom. > c, where c is the value so that to the right of c lies the area of a under the i density
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Transcribed Image Text:Let x1, X2, ... , X, be a random sample from a normal population with unknown mean µ and an unknown variance o2.
Construct the generalized likelihood ratio test for Ho : µ 2 µo = 10 versus H1 : 4 < µo at a given significance level a.
The following `answers" have been proposed.
(a) The test rejects Ho if
normal density.
where c is the value so that to the right of c lies the area of a under the the standard
> C,
(b) The test rejects Ho if
> c,
where c is the value so that to the right of c lies the area of a under the i density
with n –
1 degrees of freedom.
(c) The test rejects Ho if
normal density.
C,
where c is the value so that to the left of c lies the area of a under the the standard
(d) The test rejects Ho if
where c is the value so that to the left of c lies the area of a under the i density with
<C,
n – 1 degrees of freedom.
(e) None of the above.
The correct answer is
(a)
(b)
(c)
(d)
(e)
N/A
(Select One)
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